Details

Time bar (total: 19.9s)

sample70.0ms

Algorithm
intervals
Results
33.0ms508×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
23.6b
(/ (* z z) (* t t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
23.0ms
(/ (* z z) (* t t))

series195.0ms

Counts
2 → 6
Calls
2 calls:
159.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
36.0ms
(/ (* z z) (* t t))

simplify5.1s

Counts
39 → 39
Iterations

Useful iterations: done (5.1s)

IterNodesCost
066517
1153509
2520379
32009364
done5000354

prune113.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot (/ x y) (/ z t))
0.0b
(hypot (/ x y) (/ z t))
0.5b
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×hypot-udef
5×add-exp-log add-cbrt-cube
3×expm1-log1p-u swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
3 → 49
Calls
3 calls:
0.0ms
(hypot (/ x y) (/ z t))
0.0ms
(hypot (/ x y) (/ z t))
14.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

series445.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(hypot (/ x y) (/ z t))
136.0ms
(hypot (/ x y) (/ z t))
205.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

simplify1.5s

Counts
58 → 58
Iterations

Useful iterations: done (1.5s)

IterNodesCost
050831
1104748
2253629
3654547
41823538
done5000508

prune204.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))) (hypot (/ x y) (/ z t)))
0.5b
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
0.8b
(sqrt (hypot (/ x y) (/ z t)))
0.8b
(sqrt (hypot (/ x y) (/ z t)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
31×add-sqr-sqrt
24×sqrt-prod
22×sqrt-pow1 pow1/2
19×pow-prod-up
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×swap-sqr associate-*r*
7×pow-plus associate-*l* pow-sqr
6×pow-prod-down
5×unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 hypot-udef rem-square-sqrt
Counts
4 → 116
Calls
4 calls:
39.0ms
(* (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))) (hypot (/ x y) (/ z t)))
16.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
2.0ms
(sqrt (hypot (/ x y) (/ z t)))
3.0ms
(sqrt (hypot (/ x y) (/ z t)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))) (hypot (/ x y) (/ z t)))
132.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
128.0ms
(sqrt (hypot (/ x y) (/ z t)))
138.0ms
(sqrt (hypot (/ x y) (/ z t)))

simplify3.3s

Counts
128 → 128
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0992319
11931445
25301220
318981112
done50001086

prune383.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (sqrt (hypot (/ x y) (/ z t))) 3)
0.8b
(sqrt (hypot (/ x y) (/ z t)))
0.8b
(sqrt (hypot (/ x y) (/ z t)))
3.4b
(cbrt (pow (sqrt (hypot (/ x y) (/ z t))) 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod add-sqr-sqrt sqrt-prod
16×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
8×pow1
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-mult rem-sqrt-square unpow3 sqr-pow
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
6.0ms
(pow (sqrt (hypot (/ x y) (/ z t))) 3)
2.0ms
(sqrt (hypot (/ x y) (/ z t)))
2.0ms
(sqrt (hypot (/ x y) (/ z t)))
4.0ms
(cbrt (pow (sqrt (hypot (/ x y) (/ z t))) 3))

series672.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(pow (sqrt (hypot (/ x y) (/ z t))) 3)
127.0ms
(sqrt (hypot (/ x y) (/ z t)))
151.0ms
(sqrt (hypot (/ x y) (/ z t)))
140.0ms
(cbrt (pow (sqrt (hypot (/ x y) (/ z t))) 3))

simplify2.9s

Counts
105 → 105
Iterations

Useful iterations: 3 (776.0ms)

IterNodesCost
0821494
11491064
23381055
321131043
done50001043

prune399.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes626.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
11528
done1528

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.1s15718×body80valid